%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP596-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:34:45 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of formulae : 75 ( 75 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 240 ( 240 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1)))))) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : multiply(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),double_divide(X0,X2)) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(multiply(inverse(double_divide(X0,X1)),X2),double_divide(X2,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f10]) ).
fof(f12,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f11]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0))) = X1,
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),X3))) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f12,f12]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),multiply(X1,X2)),double_divide(double_divide(X3,X2),X0)) = X3,
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(double_divide(double_divide(X0,X1),multiply(X1,multiply(X2,X3))),X2)) = X3,
inference(paramodulation,[status(thm)],[f13,f12]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),double_divide(X1,double_divide(double_divide(X2,X3),multiply(X3,X4)))) = double_divide(double_divide(X0,X4),X2),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f24,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2),
inference(paramodulation,[status(thm)],[f13,f14]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(double_divide(X0,X1),X2),double_divide(X2,multiply(X3,X4))) = double_divide(X4,multiply(multiply(X1,X3),X0)),
inference(paramodulation,[status(thm)],[f12,f14]) ).
fof(f46,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,multiply(multiply(X2,X3),X0))) = double_divide(multiply(X3,X1),X2),
inference(paramodulation,[status(thm)],[f24,f24]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4] : X0 = double_divide(multiply(double_divide(double_divide(X1,X2),X3),double_divide(X0,X1)),double_divide(double_divide(X3,X4),multiply(X4,X2))),
inference(paramodulation,[status(thm)],[f16,f24]) ).
fof(f56,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X2,multiply(X0,X1)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f24,f5]) ).
fof(f87,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),double_divide(multiply(X1,double_divide(X0,multiply(multiply(X2,X3),X1))),X2)) = X3,
inference(paramodulation,[status(thm)],[f56,f12]) ).
fof(f98,plain,
! [X0,X1,X2] : multiply(inverse(X0),double_divide(double_divide(multiply(X1,X0),X2),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f46,f87]) ).
fof(f99,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(double_divide(multiply(X2,double_divide(X1,X0)),X3),X3)) = X2,
inference(paramodulation,[status(thm)],[f5,f98]) ).
fof(f103,plain,
! [X0,X1,X2,X3] : multiply(inverse(double_divide(X0,X1)),double_divide(double_divide(X2,X3),X3)) = multiply(multiply(X1,X2),X0),
inference(paramodulation,[status(thm)],[f12,f98]) ).
fof(f108,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),multiply(X2,inverse(X1))) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f98,f24]) ).
fof(f112,plain,
! [X0,X1,X2,X3] : X0 = double_divide(multiply(double_divide(double_divide(multiply(X1,X2),X3),X3),double_divide(X0,X1)),inverse(X2)),
inference(paramodulation,[status(thm)],[f98,f24]) ).
fof(f123,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,double_divide(X2,X0))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f124,f99]) ).
fof(f124,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(double_divide(X2,X3),X3)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f5,f103]) ).
fof(f141,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),double_divide(double_divide(X1,X2),X2)) = multiply(X3,multiply(X1,double_divide(X0,X3))),
inference(paramodulation,[status(thm)],[f123,f98]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),double_divide(X1,multiply(X2,X3))) = double_divide(X3,multiply(X4,multiply(X2,double_divide(X0,X4)))),
inference(paramodulation,[status(thm)],[f123,f14]) ).
fof(f153,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,inverse(double_divide(X2,X3)))) = double_divide(multiply(multiply(X3,X0),X2),X1),
inference(paramodulation,[status(thm)],[f12,f108]) ).
fof(f157,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,inverse(double_divide(double_divide(X0,X2),multiply(X2,X3))))) = double_divide(X3,X1),
inference(paramodulation,[status(thm)],[f13,f108]) ).
fof(f158,plain,
! [X0,X1,X2,X3] : double_divide(multiply(X0,X1),X2) = double_divide(X0,multiply(X3,multiply(X2,double_divide(inverse(X1),X3)))),
inference(paramodulation,[status(thm)],[f123,f108]) ).
fof(f164,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(multiply(inverse(X1),double_divide(X0,X2)),X2),
inference(paramodulation,[status(thm)],[f108,f24]) ).
fof(f175,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(X2,X3))) = double_divide(multiply(multiply(X2,X0),X3),X1),
inference(forward_demodulation,[status(thm)],[f5,f153]) ).
fof(f177,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X0,X2)))) = double_divide(X3,X1),
inference(forward_demodulation,[status(thm)],[f5,f157]) ).
fof(f181,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),X2),X1) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f98,f164]) ).
fof(f182,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = double_divide(X0,multiply(X1,inverse(X2))),
inference(paramodulation,[status(thm)],[f13,f164]) ).
fof(f183,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,X2)) = double_divide(multiply(multiply(X2,X1),double_divide(X0,X3)),X3),
inference(paramodulation,[status(thm)],[f5,f164]) ).
fof(f205,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = multiply(inverse(X1),double_divide(X0,X2)),
inference(backward_demodulation,[status(thm)],[f210,f158]) ).
fof(f209,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X1,multiply(X2,X3))) = multiply(X0,double_divide(X3,X2)),
inference(backward_demodulation,[status(thm)],[f210,f146]) ).
fof(f210,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,multiply(X3,multiply(X2,double_divide(X0,X3)))),
inference(forward_demodulation,[status(thm)],[f175,f183]) ).
fof(f221,plain,
! [X0,X1,X2] : double_divide(multiply(double_divide(multiply(X0,X1),X2),X1),X2) = X0,
inference(backward_demodulation,[status(thm)],[f205,f98]) ).
fof(f224,plain,
! [X0,X1,X2,X3] : double_divide(multiply(double_divide(X0,X1),X2),X1) = multiply(X3,multiply(X0,double_divide(X2,X3))),
inference(backward_demodulation,[status(thm)],[f205,f141]) ).
fof(f233,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,multiply(X2,X0))) = double_divide(X1,X2),
inference(backward_demodulation,[status(thm)],[f209,f14]) ).
fof(f234,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),double_divide(X2,X3)) = double_divide(X2,multiply(multiply(X1,X3),X0)),
inference(backward_demodulation,[status(thm)],[f209,f33]) ).
fof(f244,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(multiply(X1,X2),double_divide(X0,X1)),inverse(X2)),
inference(backward_demodulation,[status(thm)],[f249,f112]) ).
fof(f249,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f181,f221]) ).
fof(f257,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f233,f56]) ).
fof(f259,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = double_divide(multiply(X2,X0),X1),
inference(backward_demodulation,[status(thm)],[f233,f46]) ).
fof(f283,plain,
! [X0,X1,X2,X3,X4] : X0 = double_divide(double_divide(X0,multiply(multiply(X1,X2),double_divide(X2,X3))),double_divide(double_divide(X1,X4),multiply(X4,X3))),
inference(backward_demodulation,[status(thm)],[f234,f47]) ).
fof(f293,plain,
! [X0,X1,X2] : X0 = double_divide(X1,multiply(inverse(X1),multiply(X2,double_divide(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f175,f244]) ).
fof(f301,plain,
! [X0,X1] : X0 = double_divide(X1,multiply(inverse(X1),inverse(X0))),
inference(backward_demodulation,[status(thm)],[f257,f293]) ).
fof(f310,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,double_divide(X2,X1))) = multiply(X3,multiply(X2,double_divide(X0,X3))),
inference(backward_demodulation,[status(thm)],[f259,f224]) ).
fof(f348,plain,
! [X0,X1] : X0 = multiply(double_divide(X1,inverse(X1)),X0),
inference(forward_demodulation,[status(thm)],[f182,f301]) ).
fof(f358,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,double_divide(X0,inverse(X2))),
inference(backward_demodulation,[status(thm)],[f362,f210]) ).
fof(f362,plain,
! [X0,X1,X2] : double_divide(X0,inverse(X1)) = multiply(X2,multiply(X1,double_divide(X0,X2))),
inference(forward_demodulation,[status(thm)],[f257,f310]) ).
fof(f387,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(double_divide(X1,multiply(X2,X0)),X2),
inference(paramodulation,[status(thm)],[f249,f233]) ).
fof(f408,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(double_divide(double_divide(X0,double_divide(X1,inverse(X1))),multiply(X2,X3)),X2)) = X3,
inference(paramodulation,[status(thm)],[f348,f17]) ).
fof(f424,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X0,double_divide(X2,inverse(X2))))) = X1,
inference(forward_demodulation,[status(thm)],[f387,f408]) ).
fof(f425,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X2,double_divide(X0,X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f358,f424]) ).
fof(f426,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f257,f425]) ).
fof(f447,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),double_divide(X1,X2)) = multiply(X0,inverse(X2)),
inference(paramodulation,[status(thm)],[f426,f12]) ).
fof(f464,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(double_divide(double_divide(X1,X2),multiply(X2,X3)))) = double_divide(double_divide(X0,X3),X1),
inference(backward_demodulation,[status(thm)],[f447,f23]) ).
fof(f466,plain,
! [X0,X1,X2,X3] : X0 = double_divide(double_divide(X0,multiply(X1,inverse(X2))),double_divide(double_divide(X1,X3),multiply(X3,X2))),
inference(backward_demodulation,[status(thm)],[f447,f283]) ).
fof(f475,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(X1,X2),X0)) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f476,f177]) ).
fof(f476,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,X2),double_divide(X3,X1))) = double_divide(double_divide(X0,X2),X3),
inference(forward_demodulation,[status(thm)],[f5,f464]) ).
fof(f479,plain,
! [X0,X1,X2,X3] : X0 = double_divide(multiply(double_divide(X0,X1),X2),double_divide(double_divide(X1,X3),multiply(X3,X2))),
inference(forward_demodulation,[status(thm)],[f182,f466]) ).
fof(f480,plain,
! [X0,X1,X2,X3] : X0 = double_divide(X1,multiply(double_divide(double_divide(X2,X3),multiply(X3,X1)),double_divide(X0,X2))),
inference(forward_demodulation,[status(thm)],[f259,f479]) ).
fof(f481,plain,
! [X0,X1,X2,X3] : X0 = double_divide(X1,double_divide(X0,multiply(multiply(multiply(X2,X1),X3),double_divide(X3,X2)))),
inference(forward_demodulation,[status(thm)],[f234,f480]) ).
fof(f482,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f12,f481]) ).
fof(f507,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f482,f475]) ).
fof(f587,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
inference(paramodulation,[status(thm)],[f507,f5]) ).
fof(f596,plain,
multiply(a,b) != multiply(a,b),
inference(backward_demodulation,[status(thm)],[f606,f6]) ).
fof(f606,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f587]) ).
fof(f611,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f596]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP596-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 20:19:58 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.048299 seconds
% 0.14/0.42 % CPU time: 0.229897 seconds
% 0.14/0.42 % Total memory used: 11.801 MB
% 0.14/0.42 % Net memory used: 11.419 MB
%------------------------------------------------------------------------------